Graph Theory, 1736-1936

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Clarendon Press, 1976 - Mathematics - 239 pages
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First published in 1976, this book has been widely acclaimed both for its significant contribution to the history of mathematics and for the way that it brings the subject alive. Building on a set of original writings from some of the founders of graph theory, the book traces the historicaldevelopment of the subject through a linking commentary. The relevant underlying mathematics is also explained, providing an original introduction to the subject for students. From reviews: 'The book...serves as an excellent examplein fact, as a modelof a new approach to one aspect of mathematics,when mathematics is considered as a living, vital and developing tradition.' (Edward A. Maziark in Isis) 'Biggs, Lloyd and Wilson's unusual and remarkable book traces the evolution and development of graph theory...Conceived in a very original manner and obviously written with devotion and a verygreat amount of painstaking historical research, it contains an exceptionally fine collection of source material, and to a graph theorist it is a treasure chest of fascinating historical information and curiosities with rich food for thought.' (Gabriel Dirac in Centaurus) 'The lucidity, grace andwit of the writing makes this book a pleasure to read and re-read.' (S. H. Hollingdale in Bulletin of the Institute of Mathematics and its Applications)
 

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This book gives a self contained historical introduction to graph theory using thirty-seven extracts from original articles (translated when necessary).

Contents

PATHS
7
CIRCUITS
21
TREES
37
CHEMICAL GRAPHS
55
EULERS POLYHEDRAL FORMULA
74
THE FOURCOLOUR PROBLEM
90
COLOURING MAPS ON SURFACES
109
THE FOURCOLOUR PROBLEMTO 1936
158
THE FACTORIZATION OF GRAPHS
187
Graph Theory since 1936
209
Bihliography 17361936
223
INDEX OF NAMES
235
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About the author (1976)

Norman L. Biggs is at London School of Economics. E. Keith Lloyd is at University of Southampton.

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